Exp 13: image formation with cylindrical lenses – PASCO OS-8500 INTRODUCTORY OPTICS SYSTEM User Manual

Page 67

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Introductory Optics System

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61

Spherical Aberration

➀

The image will be sharpest at the center.

➁

Smaller apertures make the image sharper, but
dimmer.

➂

Smaller apertures limit the light to the central por-
tion of the mirror. Using a smaller part of the
spherical mirror causes smaller amounts of spheri-
cal aberration.

➃

The best aperture for maximum sharpness would
be a pinhole. This is not practical, though, because
it limits the amount of light entering the mirror and
causes diffraction.

Exp 14: Spherical Lenses-Spherical and Chromatic

Aberration, Aperture Size, and Depth of Field

Spherical Aberration

➀

The focus becomes sharper as the aperture is de-
creased.

➁

The best image focus would be obtained with the
smallest possible aperture. This is not practical,
however, because smaller apertures allow less light
to enter; and at very small apertures, diffraction de-
grades the image.

Depth of Field

➤

➤

➤

➤

➤Note: The depth of field measured by students
will vary, depending on what they consider
“good focus”.

➀

The depth of field increases as the aperture is de-
creased.

➁

An infinite depth of field would require an aperture
size of zero.

Exp 13: Image Formation with Cylindrical Lenses

Focal Point

➀

F.L. 1 = 43 mm

F.L. 2 = 31 mm

➁

The refracted rays are parallel when they go
through the center of the lens, but are not parallel
when they go through the edges.

➂

Same as #2

➃

Because of the shape of the lens, it bends the light
at only one edge - the curved one. When the lens is
rotated 180°, the curved side of the lens is on the
opposite side, so the refraction occurs at a different
place.

Image Location

➀

57 mm from the lens

➁

As you decrease the object distance, the image dis-
tance increases.

➂

Yes, but it is a virtual image located on the oppo-
site side of the lamp from the lens.

Magnification & Inversion

➀

The magnification decreases with object distance.

➁

The image is inverted for all object locations
greater than the focal length of the lens.

Cylindrical Aberration

➀

The rays do not all focus at the same point.

➁

Make it thinner, decrease the curvature, limit the
aperture to include only the center of the lens,
change the shape from circular to parabolic. (An-
swers may vary.)

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